On Some Solutions to Hofstadter's $V$-Recurrence
Dynamical Systems
2020-02-11 v1 Chaotic Dynamics
Abstract
In this study, we explore the properties of certain solutions of Hofstadter's famous -recurrence, defined by the nested recurrence relation . First, we discover the nature behind a finite chaotic meta-Fibonacci sequence in terms of mortality in the -recurrence. Then, we construct a new kind of quasi-periodic solution which suggests a connection with another Hofstadter-Huber recursion, .
Cite
@article{arxiv.2002.03396,
title = {On Some Solutions to Hofstadter's $V$-Recurrence},
author = {Altug Alkan and Nathan Fox and Orhan Ozgur Aybar and Zehra Akdeniz},
journal= {arXiv preprint arXiv:2002.03396},
year = {2020}
}